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Selfadjoint commutators and invariant subspaces on the torus. II. (English) Zbl 0899.47005

Summary: In the previous part I [J. Oper. Theory 31, No. 1, 189-204 (1994; Zbl 0847.47006)], the authors determine the invariant subspaces of \(L^2(T^2)\) on which a certain commutator is selfadjoint. In this paper, we give its generalization.

MSC:

47A15 Invariant subspaces of linear operators
47B47 Commutators, derivations, elementary operators, etc.
47B25 Linear symmetric and selfadjoint operators (unbounded)
32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables

Citations:

Zbl 0847.47006
Full Text: DOI

References:

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